{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x96bbcf8>]"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 768x768 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8), dpi = 96)\n",
    "ax = fig.add_axes([0,0,1,1])\n",
    "ax.set_xlabel(\"angle\")\n",
    "ax.set_ylabel(\"sine\")\n",
    "ax.plot(np.random.randn(10),np.random.randn(10),\"--\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
